# Use Green’s theorem to evaluate the line integral $\int_C (1+xy^2)dx-x^2ydy$ on the arc of a parabola

Use Green?s theorem to evaluate the line integral
$$\int_C (1+xy^2)dx-x^2ydy,$$
where $C$ is the arc of the parabola $y = x^2$ from $(?1, 1)$ to $(1, 1)$.